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Iterative algorithm for a system of variational inclusions involving H-accretive operators in Banach spaces

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Summary

We introduce and study a system of variational inclusions involving H-accretive operators in Banach spaces. By using the resolvent operator technique associated with an H-accretive operator, we prove the existence and uniqueness of solution for the system of variational inclusions involving H-accretive operators and construct a new iterative algorithm to approximate the unique solution.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, People’s Republic of China

    Ya-Ping Fang

  2. Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, People’s Republic of China

    Nan-Jing Huang

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  1. Ya-Ping Fang
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  2. Nan-Jing Huang
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Fang, YP., Huang, NJ. Iterative algorithm for a system of variational inclusions involving H-accretive operators in Banach spaces. Acta Math Hung 108, 183–195 (2005). https://doi.org/10.1007/s10474-005-0219-6

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  • DOI: https://doi.org/10.1007/s10474-005-0219-6

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